إيجاد قيمة تقريبية للعدد غير النسبي

The video tutorial explains how to represent non-rational numbers on a number line using a three-step process. It uses the example of the square root of seven, involving drawing a number line, a perpendicular line, and using a compass to find an intersection point. The tutorial also discusses using triangle properties to calculate approximate values of non-rational numbers.

What is the first step in representing a non-rational number on a number line?

• Calculate the square root using a calculator.

• Divide the number line into equal units.

• Use a compass to draw an arc.

• Draw a vertical line from the origin.

How long should the vertical line be when representing the square root of seven?

• Two units

• Four units

• Three units

• Seven units

What is the purpose of using a compass in the representation process?

• To calculate the exact value of the square root.

• To draw an arc that intersects the number line.

• To draw a vertical line from the origin.

• To measure the length of the number line.

What is the approximate value of the intersection point on the number line for the square root of seven?

• 4.2 units

• 5.1 units

• 3.5 units

• 2.6 units

Which mathematical shape is used to explain the representation of non-rational numbers?

• Right triangle

• Rectangle

• Square

• Circle